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Year 9 Probabilty Test

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Year 9.2 Probability Test
Name: _____________
Date: ______________
Mark:
/30
Section 1: Multiple Choice
Shade the MOST correct answer. 1 mark each
Q1
A
B
C
D
E
Q2
A
B
C
D
E
Q3
A
B
C
D
E
Q4
A
B
C
D
E
Q5
A
B
C
D
E
Question 1
The probability that Joan will win her race is
0.35. What is the probability that she will not
win her race?
A.
B.
C.
D.
E.
0.35
0.65
0.75
75%
1
Question 3
Amy has 2 red lipsticks, 3 pink lipsticks, and 1
purple lipstick in her bag. If she randomly pulls
one out, what is the probability that she will
pull out a red lipstick?
A.
B.
C.
D.
E.
3/6
1/2
2/6
3/5
1/3
Q6
A
B
C
D
E
Q7
A
B
C
D
E
Q8
A
B
C
D
E
Q9
A
B
C
D
E
Q10
A
B
C
D
E
Question 2
What does this say?
P (picking a girl’) = 6/10
A. The probability of picking a girl is 6/10
B. The probability of not picking a girl is
6/10
C. There are 6 girls
D. There are 4 girls
E. The probability of picking a boy is 6/10
Question 4
Which of these cards would mean the event
“an ace and a club” occurs?
A.
B.
C.
D.
E.
Ace of Hearts
Two of Diamonds
Ace of Clubs
Seven of Clubs
An Ace of Hearts and a Seven of Clubs
Questions 5-6 relate to this Venn Diagram:
Question 5
How many people play footy?
A.
B.
C.
D.
E.
6
14
20
18
8
Question 6
Question 7
What is the probability of picking a student who A coin is flipped and then a 3-sided dice is
plays at least footy or batty?
rolled. What is the probability of getting a
heads and an odd number?
A. 6/8
B. 10/32
A. 0/6
C. 3/4
B. 1/6
D. 5/16
C. 2/6
E. 24/32
D. 1/3
E. 2/3
Questions 8-10 relate to this two-way table:
Likes
Rock
Dislikes
Rock
Total
Likes
Pop
7
Dislikes
Pop
23
Total
18
2
20
25
25
50
30
Question 9
What is the probability of picking someone who
does not like both?
A.
B.
C.
D.
E.
7/50
43/50
45/50
2/50
1/25
Question 8
Which Mix would sell the best?
A.
B.
C.
D.
E.
Dance Pop
Pop Rock
Pop Pop
Rock Rock
Rock Pop
Question 10
If a random group of 10 people were pulled
out. How many people could you expect to like
rock?
A.
B.
C.
D.
E.
3/5
4/5
10
6/10
3
Section 2: Short Answer
Question 11 (5 marks)
Phil surveyed 50 people. 18 of the people he asked likes pickles. 20 of the people he asked were
younger than 16. Only 5 people under 16 liked pickles.
a) What number does D represent?
b) What does the number in Shaded Area A
mean?
(1 marks)
(1 mark)
c) Phil is planning a party for 120 guests
who are 16 or over.
i. What is the probability of a guest eating
pickles?
d) At the party, Phil finds out that 60 of his
guests eat pickles. Comment on this. (Is
it more or less than expected?)
ii. How many of his guest are likely to eat
pickles?
(2 marks)
1 mark for probability, 1 mark for number of guests
(1 mark)
Question 12 (2 marks)
Nigel is trying to guess the answer to two True/False questions.
a) Complete the tree diagram to work out
the sample space
(1 mark)
b) What is the probability that both
answers are the same?
(1 mark)
Question 13 (5 marks)
Mary is playing a game using a full standard deck of cards without jokers. To win she needs
to draw two clubs in a row.
a) Draw a tree diagram of the possible
outcomes for this scenario if she returns
the first card before picking the next one.
b) What is the probability that she will win?
(1 mark)
c) How many times will Mary probably
need to play to win 5 times?
(3 marks)
1 for structure, 1 mark for each correct pick
(1 mark)
Question 14 (4 marks)
Here are the real numbers of Year 8s and 9s who go to Manjimup SHS and Bridgetown HS with some
numbers missing.
Year 8
Goes to Manji SHS
105
Goes to Bridgetown HS
44
Year 9
Total
49
Total
128
a) What is the total number of students in
Years 8 and 9 at both schools?
(1 mark)
c) What is the probability of randomly picking
a year 9 student from Manjimup SHS?
(1 mark)
b)
What is the probability of randomly picking
a student that goes to Manjimup SHS?
(1 mark)
d) If both years from both schools compete in
a cross country, how many year 9’s from
Manjimup would you expect to finish in the
top 20?
(1 mark)
Question 15 (4 marks)
Jeff has 2 Caramello Koalas, 2 Freddo Frogs, and a Kinder Surprise. He is going to give away 2
chocolates and keep the rest for himself.
a) Draw a tree diagram showing the order in
which he could give away the chocolates.
b) What the probability that he gives away
two Caramello Koala?
(1 mark)
c) What is the probability that he gives away a
Kinder surprise second?
(2 marks)
1 for each give away
(1 mark)
Marking Rubric
1. List all outcomes for two-step chance experiments, both with and without replacement
using tree diagrams or arrays. Assign probabilities to outcomes and determine
probabilities for events (ACMSP225)
2. Calculate relative frequencies from given or collected data to estimate probabilities of
events involving 'and' or 'or' (ACMSP226)
Draws two-step tree diagrams with
and without replacement
15a
Quality Criteria
Assigns probabilities by theoretical
chances for compound scenarios
13c 15b 15c
Draws two-step tree diagrams with
replacement
12a 13a
Assigns probabilities by counting
outcomes for compound scenarios
MC7 12b 13b
Lists possible outcomes in a sample
space.
MC2 MC4
Indicators
Assigns probabilities of individual
outcomes.
MC1 MC3
Use systematic methods to list
outcomes of multi-step experiments
undertaken with replacement or
without replacement.
Identify outcomes favourable in
multi-step chance experiments
Uses estimates to compare data to
theoretical probabilities and predict
proportions
11cii 11d
Uses estimates to compare data to
theoretical probabilities and predict
proportions
MC10 14d
Estimate probabilities of compound
events from information in Venn
diagrams
MC6 11b 11ci
Above
Level
At Level
Estimate probabilities of compound
events from information in two-way
tables
MC9 14b 14c
Working
Calculates relative frequencies of
compound events from information in Towards
Level
Venn diagrams
MC5 11a
Calculates relative frequencies of
compound events from information in
two-way tables
MC8 14a
Calculate relative frequencies of
events and estimate probabilities of
compound (‘and’, ‘or’) questions in
Venn diagrams and two way tables
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